Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 201486, 8 pages
doi:10.1155/2010/201486
Research Article

On Some Matrix Trace Inequalities

Zübeyde Ulukök and Ramazan Türkmen

Department of Mathematics, Science Faculty, Selçuk University, 42003 Konya, Turkey

Received 23 December 2009; Revised 4 March 2010; Accepted 14 March 2010

Academic Editor: Martin Bohner

Copyright © 2010 Zübeyde Ulukök and Ramazan Türkmen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semidefinite block matrices by using 2×2 block matrices.